Speaker
Prof.
Sergio Ciliberto
(ENS-Lyon)
Description
When a control parameter of a system is suddenly changed,
the accessible phase space changes too and the system needs
its characteristic relaxation time to reach the final
equilibrium distribution. An important and relevant
question is whether it is possible to travel from an
equilibrium state to another in an arbitrary time, much
shorter than the natural relaxation time. Such strategies
are reminiscent of those worked out in the recent field of
Shortcut to Adiabaticity, that aim at developing protocols,
both in quantum and in classical regimes, allowing the
system to move as fast as possible from one equilibrium
position to a new one, provided that there exist an
adiabatic transformation relating the two. Proof of
principle experiments have been carried out for isolated
systems. Instead in open system the reduction of the
relaxation time, which is frequently desired and necessary,
is often obtained by complex feedback processes.
In this talk, we present a protocol,named Engineered Swift
Equilibration (ESE), that shortcuts time-consuming
relaxations, We tested experimentally this protocol on a
Brownian particle trapped in an optical potential first and
then on an AFM cantilever. We show that applying a specific
driving, one can reach equilibrium in an arbitrary short
time. We also estimate the energetic cost to get such a
time reduction.
Beyond its fundamental interest, the ESE method paves the
way for applications in micro and nano devices, in high
speed AFM, or in monitoring mesoscopic chemical or
biological process.
References:
(1) Engineered Swift Equilibration, Ignacio A Martinez;
Artyom Petrosyan; David Gury-Odelin; Emmanuel Trizac;
Sergio Ciliberto, Nature Physics, Vol 12, 843 (2016).
(2) Arbitrary fast modulation of an atomic force microscope,
Anne Le Cunuder; Ignacio A Martinez; Artyom Petrosyan; David
Gury-Odelin; Emmanuel Trizac; Sergio Ciliberto. Applied
Physics Letters, 109, 113502 (2016)